Technical Field
[0001] The present invention relates to X-ray sources, and more particularly to collimators.
Background Art
[0002] X-ray backscatter imaging relies on scanning an object with a well collimated beam,
often referred to as "pencil beam". In the past these beams had also been widely used
for X-ray transmission imaging, but today fan and cone beams in conjunction with pixelated
detectors dominate transmission imaging.
[0003] There are two commonly used approaches for forming the collimated scanning beam.
Both rely on a stationary X-ray source and a moving aperture. In both cases the radiation
from a stationary X-ray source is first collimated into a fan beam by a stationary
collimator. Then a moving part with an opening forms the scanning beam. This moving
part is either a rotating disk with radial slits or a wheel with openings at the perimeter.
The rotating disk covers the fan beam and the scanning beam is formed by the radiation
emitted through the slits traversing the length of the fan beam opening. This approach
is illustrated, e.g., in the
1973 US patent 3,780,291 by Stein and Swift; see Fig. 1A. In the other approach a wheel with radial bores spinning around the
X-ray source constitutes the moving part. If the source is placed at the center of
the wheel the scanning beam is emitted in radial direction with the angular speed
of the wheel.
[0004] Other approaches for forming a collimated beam from a stationary X-ray source have
been proposed, for instance based on a rotating cylinder with a spiral groove as described
by Annis in the
1996 US patent 5,493,596.
[0005] System configurations with moving X-ray sources have been developed. The motion of
the X-ray source is typically not formed by moving the X-ray tube but by moving (scanning)
the electron beam along an extended anode. This produces a moving X-ray source point
(focal spot of the electron beam) the location of which can be electronically controlled.
A moving X-ray source point enables the formation of the scanning X-ray beam with
a simple stationary aperture (pinhole) at some distance from the source point. As
the X-ray source point is moved from one end of the scan path to the other the scanning
X-ray beam emerging form the aperture spans an angular range. An embodiment of this
concept is, e.g., part of the system described in the
1977 US patent 4,045,672 by Watanabe, see also Fig. 1B.
[0006] As the X-ray beam covers the angular range the cross-sectional area of the beam varies
as the cosine of the angle between the beam and the normal of the aperture plane.
If the angular range is small the beam variation is limited and may be neglected.
If, however, a large angular range is needed the effect becomes significant. For instance,
for a 120° angular range an off-normal angle of 60° at the extremes leads to at least
a 50% reduction in beam size and delivered flux, as the cosine of 60° is one half.
[0007] In reality the beam variation is even larger as the material with the pinhole has
a finite thickness which leads to a further reduction in beam cross-sectional area
with increasing angle. This problem becomes more serious for X-rays of higher energies
which require thicker shielding material for the material with the pinhole.
[0008] To allow for thick shielding material and to avoid the angular variation it has been
suggested to replace the pinhole with a rotating cylinder containing a bore perpendicular
through the axis as described in the
2002 US patent 6,356,620 by Rothschild and Grodzins, see also Fig. 1C. This cylinder would have to rotate synchronously with the scanning
electron beam so that the moving X-ray source point is aligned with the bore at any
time. This approach solves both of the problems with the simple pinhole design: It
forms a beam of constant size independently of the beam angle and does not limit the
thickness of the material forming the aperture. However, this active solution introduces
significant cost and complexity in comparison to the passive pinhole. It also largely
eliminates the great flexibility offered by the electronic control of the electron
beam.
Summary of the Embodiments
[0009] A variable angle collimator controllably produces a collimated beam of radiation
without physically manipulating any member of the collimator. The angle of the collimated
beam may be completely electronically controlled through control of an electron beam
striking an anode.
[0010] In a first embodiment, a system for producing a steerable beam of radiation includes
a radiation source configured to produce radiation at an angle, relative to a collimator,
wherein the angle is electronically controllable; a collimator comprising material
opaque to the radiation produced by the radiation source, the collimator comprising
an aperture configured to receive radiation from the radiation source at a plurality
of incident angles, and configured to pass a portion of the radiation through the
collimator at each of the plurality of incident angles, so as to form a collimated
beam of radiation having a beam cross-section, wand herein the collimator and radiation
source are configured to remain stationary with respect to one another when producing
a steerable beam of radiation.
[0011] The radiation source may include an electron source and an anode, configured such
that the electron source illuminates the anode with an electronically steerable beam
of electrons, so as to produce a movable point source of radiation.
[0012] The aperture, and therefore a cross-section of the resulting radiation beam, may
have any of a variety of shapes, such as rhombus-shaped, square, and rectangular.
In some embodiments, the shape of the aperture (and therefore the cross-section of
the resulting beam) is variable as a function of the angle of the incident radiation
relative to the aperture.
[0013] Various embodiments of the collimator present a variety of structures. For example,
in one embodiment the collimator includes several surfaces, and the aperture is a
compound aperture formed by cooperation between a first aperture in a first collimator
surface and a second aperture in a second collimator surface. For example, the first
surface may be a surface of a first plate, and the second surface may be a surface
of a second plate disposed parallel to the first plate.
[0014] Another embodiment of a collimator includes a first member having a first surface,
the first surface being one of a hyperbolic paraboloid surface or a modified hyperbolic
paraboloid surface; and a second member having a second surface, the second surface
being one of a hyperbolic paraboloid surface or a modified hyperbolic paraboloid surface;
the first member disposed relative to the second member such that the first surface
faces the second surface, the first surface and second surface separated by a gap
so as to define a aperture through the collimator. In some embodiments, the collimator
is a helically cut cylinder.
[0015] A method of irradiating a target with a collimated beam of radiation includes providing
a steerable source of radiation configured to illuminate a collimator; providing a
collimator comprising a hyperbolic paraboloid aperture having an input and an output,
the collimator disposed in a fixed location relative to the steerable source of radiation;
producing a collimated beam of radiation at a plurality of exit angles by: illuminating
the input of the hyperbolic paraboloid aperture with illuminating radiation from a
first illumination angle, such that a portion of the illuminating radiation passes
through the collimator and exits the collimator at a first exit angle; and illuminating
the input of the hyperbolic paraboloid aperture with illuminating radiation from a
second illumination angle, the second illumination angle different from the first
illumination angle, such that a portion of the illuminating radiation passes through
the collimator and exits the collimator at a second exit angle, the second exit angle
different from the first exit angle, such that radiation exiting the collimator at
the first angle and at the second angle irradiate the target.
[0016] The step of providing a collimator may include proving a collimator having an input
plate having an first face and a second face, and an first elongated aperture completely
through the input plate between the first face and the second face; and an output
plate having a third face and a fourth face, and an second elongated aperture completely
through the output plate between the third face and the fourth face, the first face
parallel to the fourth face, and separated from the fourth face by a predetermined
distance, such that a projection of the first elongated aperture intersects the second
elongated aperture at a non-zero angle, and such that the intersection of the projection
of first elongated aperture and the second elongated aperture forms a rhombus-shaped
aperture through which radiation may pass without contacting the input plate and without
contacting the output plate.
[0017] Alternately, the stop of providing a collimator may include providing a collimator
includes proving a collimator having: a first member comprising a first surface, the
first surface being one of a hyperbolic paraboloid surface or a modified hyperbolic
paraboloid surface; and a second member comprising a second surface, the second surface
being one of a hyperbolic paraboloid surface or a modified hyperbolic paraboloid surface;
the first member disposed relative to the second member such that the first surface
faces the second surface, the first surface and second surface separated by a gap
so as to define a hyperbolic paraboloid aperture through the collimator.
[0018] In some embodiments, producing a collimated beam at the first angle includes producing
a collimated beam having a first shape in cross-section, producing a collimated beam
at the second angle includes producing a collimated beam having a second shape in
cross-section, wherein the second shape is different than the first shape.
[0019] In another embodiment, a system for producing a steerable beam of radiation includes
radiation source means for producing an electronically steerable point source of illuminating
radiation; and collimating means having an aperture configured to pass a portion of
illuminating radiation incident on said collimating means; the radiation source means
disposed, relative to the collimating means, so as to remain stationary with respect
to the collimating means, and so as to illuminate the aperture with incident radiation
from the steerable point source of radiation, such that the aperture produces a steerable
beam of radiation.
[0020] The collimating means may include a first member comprising a first hyperbolic paraboloid
surface; and a second member comprising a second hyperbolic paraboloid surface; wherein
the first member is disposed, relative to the second member, such that the first hyperbolic
paraboloid surface is disposed opposite the second hyperbolic paraboloid surface such
that the first hyperbolic paraboloid surface is separated from the second hyperbolic
paraboloid surface by an aperture gap, such that the first member and second member
form the aperture across the aperture gap.
[0021] Alternately, the collimating means may include a first member comprising a first
modified hyperbolic paraboloid surface; and a second member comprising a second modified
hyperbolic paraboloid surface; wherein the first member is disposed, relative to the
second member, such that the first modified hyperbolic paraboloid surface is disposed
opposite the second modified hyperbolic paraboloid surface such that the first modified
hyperbolic paraboloid surface is separated from the second modified hyperbolic paraboloid
surface by an aperture gap, wherein the aperture gap is not constant, such that the
first member and second member form the aperture across the aperture gap.
Brief Description of the Drawings
[0022] The foregoing features of embodiments will be more readily understood by reference
to the following detailed description, taken with reference to the accompanying drawings,
in which:
Figs. 1A-1C schematically illustrate a prior art collimators;
Figs. 2A-2I schematically illustrate an embodiment of a collimator;
Figs. 2J-2K schematically illustrate an embodiment of a collimator;
Fig. 2L schematically illustrates a cross-section of a collimated beam having a kite
shape;
Figs. 3A-C schematically illustrate a virtual hyperbolic paraboloid surface;
Fig. 4A-C schematically illustrate an embodiment a collimator;
Figs. 5A-5E schematically illustrate an embodiment of a helically cut cylinder collimator;
Fig. 6A-C schematically illustrate an embodiment of a collimator;
Fig. 7 schematically illustrates an embodiment of a collimator block with a modified
hyperbolic paraboloid surface and a secondary plate.
Detailed Description of Specific Embodiments
[0023] Various embodiments provide an X-ray collimator that allows forming a scanning X-ray
beam of desired size and flux independently of the aperture material thickness without
requiring movement of the aperture or physical components that create the aperture.
Some embodiments provide an X-ray collimator that allows forming a scanning X-ray
beam of desired size and flux independently of the beam angle.
[0024] In various embodiments, a collimator of non-moving parts creates a beam (e.g., a
pencil-beam) from a point-like radiation source in a way that the cross-sectional
area of the pencil-beam varies with the incident angle in a deliberate way. In particular,
some embodiments allow the creation pencil-beams with a cross-sectional area which
is independent of the incident angle. In some embodiments, a variable angle collimator
includes attenuating materials rigidly arranged such that radiation from a point-like
source is effectively collimated into a beam (e.g., a pencil beam) for a range of
incident angles and such that the cross-section of the beam is a function of the incident
angle.
[0025] For example, the beam angle may be determined by controlling the focal point of a
source electron beam impinging on an anode. Such an electron beam may be described
as being "steerable." A source of an electron beam, together with an anode, may be
described as a radiation source configured to produce radiation at an angle, relative
to a collimator, wherein the angle is electronically controllable.
[0026] The focal point becomes an X-ray source. As such, controllably moving the electron
beam provides control of the focal point, and thereby provides control of the location
of X-ray source. Controlling the location of the X-ray source, in turn, provides control
of the angle of which the X-rays impinge on the collimator, and thereby provide control
of the direction of the X-ray beam from the collimator. These features provide the
abilities to scan the produced X-ray beam in a step-wise fashion, and/or vary the
scan speed, and/or vary the scan angle range, for example. Such an X-ray source may
be described as being "controllable" or "steerable" in that its location (e.g., on
an anode; and/or relative to an aperture in a collimator) may be electronically controlled.
[0027] A first embodiment of a collimator 200 is schematically illustrated by Figs. 2A -
2H, and includes a first plate 210 and a second plate 220. First plate 210 has a first
face 210A and a second face 210B, and is opaque to the type of radiation for which
the collimator 200 is intended. For example, if collimator 200 is intended to collimate
X-rays, then the first plate 210 is opaque to X-rays.
[0028] First plate 210 includes an elongated aperture 211 that extends completely between
the first face 210A and the second face 210B for the purpose of passing radiation
to which the first plate 210 is otherwise opaque. In this embodiment, elongated aperture
211 has a rectangular shape, but other shapes may be used in various embodiments.
[0029] Collimator 200 also includes a second plate, 220, which has a first face 220C and
a second face 220D, and also have an elongated aperture 221 that extends completely
between the first face 220C and the second face 220D for the purpose of passing radiation
to which the second plate 220 is otherwise opaque. In this embodiment, elongated aperture
221 has a rectangular shape, but other shapes may be used in various embodiments.
When viewed as in Figs. 2A and 2B, the apertures 211 and 221 are at different angles.
[0030] In collimator 200, the first plate 210 and the second plate 220 are disposed parallel
to one another, and separated by a gap "d" 240, as schematically illustrated in Fig.
2C. The plates 210, 220 are arranged such that the elongated apertures are disposed
at an angle relative to one another, for example such that a projection of elongated
aperture 211 onto elongated aperture 221 forms an "X" shape. In some embodiments,
elongated aperture 211 is arranged so that its projection onto elongated aperture
221 meets aperture 221 at right angles (e.g., "+")
[0031] In such configurations, the first plate 210 and second plate 220 block all radiation
(254) from anode 250, except that the first aperture 211 and second aperture 221 cooperate
to form a rhombus-shaped aperture through which some radiation may pass without contacting
the first plate 210 (which may be known as an input plate) and without contacting
the second plate 220 (which may be known as an output plate). More particularly, a
projection of the first elongated aperture 211 intersects the second elongated aperture
221 at a non-zero angle and such that the intersection of the projection of first
elongated aperture 211 and the second elongated aperture 221 forms a rhombus-shaped
aperture through which radiation may pass without contacting input plate 210 and without
contacting the output plate 220. In this way, all radiation impinging on the input
plate 210 is blocked, except for that portion of impinging radiation that passes through
the first elongated aperture 211. All of that radiation is, in turn, blocked by the
second plate 220, except for that portion of the radiation that passes through the
second elongated aperture 221. In other words, all impinging radiation is blocked
by the collimator 200 except that radiation that happens to approach the collimator
200 at an angle that aligns with both the first elongated aperture 211 and the second
elongated aperture 221. As such, the first elongated aperture 211 and the second elongated
aperture 221 may be described as forming a compound aperture 270.
[0032] The inventor has discovered that the collimator 200 provides a useful feature, in
that the compound aperture 270 formed by the cooperation of the first aperture 211
and second aperture 221 exists at a variety of angles with respect to impinging radiation.
In other words, the collimator 200 will present a compound aperture (i.e., through
the collimator 200) to radiation approaching the collimator 200 from a variety of
directions, all without having to move or manipulate the first plate 210 and/or the
second plate 220. Consequently, a collimated beam of radiation 260 exits the collimator
200, and the direction of that collimated beam varies as a function of the location
of the source of the radiation.
[0033] More specifically, a source (which may be referred to a "point source") of radiation
251 illuminates collimator 200 from any of a number of positions. For example, in
Figs. 2C, the source of radiation 250 is the focal point of an electron beam on anode
250. Radiation 254 departs from that point 251 at a variety of angles, but only some
of that radiation, in this example radiation along vector 255A, approaches collimator
200 in a direction that will allow the radiation to pass through both the first aperture
211 and the second aperture 221, to yield collimated radiation beam 260A.
[0034] Illustrative examples of the compound aperture 270 formed by the cooperation of apertures
211 and 221 are schematically illustrated in Figs. 2D-2H. In each figure, a collimated
X-ray beam is formed from impinging radiation by the projected, rhombus-shaped intersection
of the two apertures 211; 221 (which may also be known as slots) as seen from the
source point (251) of the radiation. In Fig. 2F, the beam angle is normal to the collimator
plates 210, 220 (i.e., the angle, α, between the vector of impinging radiation (e.g.,
255B) and a vector normal to the surface 210A of plate 210, is zero) and the compound
aperture 270 (and consequently the beam, e.g. 260B) is square-shaped. For reference,
a non-zero beam angle, α, between a vector 259 normal to the surface 210A of plate
210 and beam vector 255A is schematically illustrated in Fig. 2C
[0035] As the X-ray source point 251 moves up or down, the beam angle α changes and the
height j (271; see for example Fig. 2I) of the aperture rhombus 270 is reduced like
cos(α). At the same time the opening shifts laterally by 0.5 d tan(α) where d (240)
is the distance between the collimator plates.
[0036] For example, as discussed above, when the impinging radiation is normal to the surface
210A of the collimator 200, the aperture 270 appears (from the point of the radiation
source) near the center of the collimator 200. Alternately, when the impinging radiation
approaches the surface 210A of the collimator 200 from another angle, the aperture
appears (from the point of the radiation source) in a different location (e.g., off-center),
as in Figs. 2D, 2E, 2G, and 2H, for example. In this embodiment 200, if the beam angle
varies between +45° and -45° the lateral range for the aperture shift would be equal
to the distance between the plates
d. In some embodiments, the path of the X-ray source point may be adjusted to compensate
for the lateral shift of the aperture, so as to maintain a straight scan line.
[0037] Therefore, to control the collimated radiation beam, the direction of the electron
beam may be changed or manipulated, by ways known in the art, such that the focal
point 251 of the electron beam may be moved to a different location on the anode 250.
Because the focal point 251 is the source of the radiation that illuminates collimator
200, the radiation source is effectively manipulated in this way, and radiation approaches
the collimator 200 from a different angle. For example, the radiation focal point
251 may be moved to produce illuminating radiation along vector 255B or 255C. Indeed,
the location of the focal point may be moved step-wise, or continuously, to produce
radiation from a variety of directions. Each location of the focal point 241 therefore
produces a collimated beam that exits the collimator 200 at an angle that varies as
a function of the location of the focal point 251. For example, radiation along vector
255A produces collimated beam 260A; radiation along vector 255B produces collimated
beam 260B; and radiation along vector 255C produces collimated beam 260C. As such,
the direction of a collimated beam of radiation may be controlled electronically,
without physically moving or manipulating a structural element of the collimator,
and without physically moving or manipulating a structural element of the source of
radiation.
[0038] A virtual surface between the two slotted collimator plates 210, 220 to which the
X-ray beam is confined, has the shape of a hyperbolic paraboloid, as defined by the
function z(x,y) = xy. Such a virtual surface 300 is schematically illustrated in Figs.
3A-3C, where the dark lines 301 depict possible beam positions.
[0039] An alternate embodiment 280 is schematically illustrated in Figs. 2J and 2K, and
includes a third plate, or intermediate plate, 230. Plate 230 has a first face 230E
and a second face 230F, and is opaque to the type of radiation for which the collimator
280 is intended. Intermediate plate 230 also has an aperture 231, and is disposed
between plates 210 and 220 such that the virtual hyperbolic paraboloid surface 300
passes through aperture 231, and therefore forms a part of compound aperture 270 and
thereby allows some radiation to pass through collimator 280. Such an embodiment may
enhance the degree to which the collimator is opaque (i.e., the opacity of the collimator),
and may further refine the collimated beam. In some embodiments, for example in a
symmetric design for which the slot angles for beam entrance and exit are the same,
a plate 230 in the center would have a horizontal slot 231.
[0040] In another embodiment a collimator 400 is formed not by multiple plates but by two
facing blocks 401, 402, each with a hyperbolic paraboloid surface as schematically
illustrated in Figs. 4A-4C. In other words, such an embodiment includes two real,
instead of virtual, surfaces between the input and output apertures.
[0041] One such block 401 is schematically illustrated in Fig. 4A, and shows hyperbolic
paraboloid surface 401A. The blocks 401, 402 cooperate to form an output aperture
470, similar to the compound aperture 270 formed by plates 210 and 220 discussed above.
In short, the aperture 470 selectively passes radiation from a source, depending on
the angle at which the radiation impinges on the collimator 400, such that the resulting
collimated beam may be controlled by controlling the location of the radiation source.
The apparent motion of such an aperture 470 is schematically illustrated by the different
locations of the aperture 470 in Fig. 4B and Fig. 4C.
[0042] Figs. 5A-5E schematically illustrate an embodiment of a helically cut cylinder collimator
500. Generally, this embodiment 500 is a variable-angle collimator that consists of
a right circular cylinder 501 with a cylinder axis 503 and a slit 502. The slit 502
passes completely through cylinder 501, and twists along axis 503.
[0043] A cutaway view of an embodiment of collimator 500 is schematically illustrated in
Fig. 5B, and shows bounding surface 501B. The bounding surface 501B and the cylinder
surface 501C define slit edges 501D. In some embodiments, each of the slit edges 501D
defines a helix about cylinder axis 503. As such, bounding surface 501B, being the
surface between the helical edges 501D, may be described as a "helical surface." Surface
501A is also a helical surface, and as such, slit 502 may be described as a "helical
slit." Stated alternately, slit 502 has a helical shape, such that the bounding surfaces
501A, 501B of the slit 502 form (or are spanned by) a double helix, as schematically
illustrated in Fig. 5A.
[0044] In one embodiment, the slit 502 at the radius 504 of the cylinder 501 (i.e., at the
surface 501C of the cylinder 501) forms a 45° angle 520 with the direction of the
axis 503 of the cylinder 501, resulting in square shaped aperture 510. See, for example,
slit 502 in Fig. 5D.
[0045] In some embodiments, slit 502 has a constant width 502A, which produces an angle-independent
beam cross-section. For example, aperture 510 retains a square shape from a variety
of angles, as schematically illustrated in Figs. 5C-5E.
[0046] In another embodiment 600, schematically illustrated in Figs. 6A-6C, the height h
605 of the gap 604 between the two surfaces 601A, 602A of two facing blocks 601, 602
forming the twisted collimator slit 603 is not constant as, such as in the embodiment
400 in Figs. 4A-4C for example. Rather, the height h 605 of the gap 604 increases
as the secant of the beam angle α:

[0047] In this way, an X-ray beam with constant cross-sectional area independent of the
beam angle the hyperbolic paraboloid surface is maintained, because the square, or
near-square, cross-section of the beam is maintained.
[0048] Relying on the angle-dependent height alone to modify the twisted collimator slit
603 leads to surfaces defined by:

[0049] These surfaces maintain a constant height h of the beam cross-section; however the
square shape obtained at α = 0 (where α = 0 is an angle that is normal to the surface
of the collimator) is lost with increasing angle α. To maintain a square or near square
cross-section of the beam the slope of the slots on the collimator's entrance and
exit surfaces will have to increase as the beam angle increases. So the center surface
of the slit will no longer be given by z(x,y) =
x·y, but by:

or an approximation thereof. With the height given by

the aperture will maintain a square shape but reduce in size with increasing angle.
A height given by cosh(
y) maintains a constant cross-sectional area.
[0050] The center surface (h=0) will remain linear in x as this is the direction of the
straight beam. An example of the modified hyperbolic paraboloid surface is shown in
Figs. 6A-6C. Figs. 6B and 6C schematically illustrate a collimator 600 formed by two
facing blocks 601, 602, which form output aperture 670.
[0051] Modifying the hyperbolic paraboloid surfaces of the collimator not only allows achieving
a beam angle independent beam cross-section area, but also allows the deliberate variation
of the cross-section area as a function of the beam angle. Keeping the beam cross-section
area constant is just one special case of controlling the area. Controlling the beam
cross-section area as a function of the beam angle enables designs with modulated
beam shapes and dose rate (flux) delivered by the collimated beam. In various embodiments,
the contours of an aperture in a collimator may be configured to produce a beam cross-section
of any of a variety of shapes, such as rhombus-shaped (e.g., rhombus aperture 270
of Fig. 2I), rectangular or square-shaped (e.g., square aperture 10 of Fig. 5C), or
even kite-shaped (e.g., aperture 299 of Fig. 2L), to name but a few examples. In general,
the aperture of a collimator may be configured to produce a beam with a size and shape
(cross-section) in a manner deemed, by a system designer, to be beneficial to the
application for which the system is designed.
[0052] In comparison to a pinhole collimator, various embodiments may produce increased
scatter which can be reduced by increasing the thickness of the collimator (e.g.,
collimator 400) or, more effectively, by adding one or more additional secondary plates
on the exit side of the collimator. Such an embodiment 700 is schematically illustrated
in Fig. 7, and includes a plate 701 adjacent to collimator 702. Collimator 702 may
be any of the collimators described above in connection with Figs. 2A-6C, for example.
The slot in plate 701 includes an aperture 703 disposed to clear the path of the primary
beam 710 exiting from a collimator 702.
[0053] A system for producing a collimated beam of radiation may be described as having
a source of radiation, and a collimator according one of the embodiments described
above, and circuits for controlling the source of radiation so as to control the angle
at which radiation from the source impinges on the collimator. A method of producing
a controllable collimated beam of radiation may include providing a providing a collimator
according one of the embodiments described above, and then illuminating the collimator
with radiation from the radiation source from a variety of angles, so as to control
the angle of the collimated beam exiting the collimator.
[0054] Some embodiments provide a variable angle collimator including an input plate having
a first face and a second face, and an first elongated aperture completely through
the input plate between the first face and the second face; an output plate having
a third face and a fourth face, and an second elongated aperture completely through
the output plate between the third face and the fourth face, the first face parallel
to the fourth face, and separated from the fourth face by a predetermined distance,
such that a projection of the first elongated aperture intersects the second elongated
aperture at a non-zero angle and such that the intersection of the projection of first
elongated aperture and the second elongated aperture forms a rhombus-shaped aperture
through which radiation may pass without contacting the input plate and without contacting
the output plate.
[0055] In some embodiments, the non-zero angle is a right angle.
[0056] Some embodiments also include an intermediate plate having a third aperture completely
through the intermediate plate. The intermediate plate is disposed between the input
plate and the output plate such that the third aperture aligns with the first elongated
aperture and the second elongated aperture at a plurality of angles, such that the
first elongated aperture, the second elongated aperture and the third aperture form
a rhombus-shaped aperture (or an aperture of another polygonal shape) through which
radiation may pass without contacting any of the input plate, the output plate and
the intermediate plate. In some embodiments, the third aperture is an elongated aperture,
and in some embodiments, the third aperture is a rectangular aperture.
[0057] Another embodiment of a variable angle collimator includes a first member having
a first surface, the first surface being one of a hyperbolic paraboloid surface or
a modified hyperbolic paraboloid surface, and a second member also having a first
surface, the first surface being one of a hyperbolic paraboloid surface or a modified
hyperbolic paraboloid surface. The first member is disposed relative to the second
member such that the first surface faces the second surface, and is separated from
the second surface separated by a gap, so as to define a hyperbolic paraboloid aperture
through the collimator.
[0058] In some embodiments, the first surface is a modified hyperbolic paraboloid surface
and the second surface is a modified hyperbolic paraboloid surface, such that the
gap between the first surface and the second surface is not constant.
[0059] In another embodiment, a radiation scanning system includes a source of radiation
configured to controllably provide a beam of radiation at a plurality of angles, and
a collimator having a hyperbolic paraboloid aperture having an input and an output.
In some embodiments, the collimator includes an input plate having a first face and
a second face, and an first elongated aperture completely through the input plate
between the first face and the second face; an output plate having a third face and
a fourth face, and an second elongated aperture completely through the output plate
between the third face and the fourth face, the first face parallel to the fourth
face, and separated from the fourth face by a predetermined distance, such that a
projection of the first elongated aperture intersects the second elongated aperture
at a non-zero angle, such that the intersection of the projection of first elongated
aperture and the second elongated aperture forms a rhombus-shaped aperture through
which radiation from the source of radiation, at a plurality of angles, may pass without
contacting the input plate and without contacting the output plate.
[0060] In some embodiments, the collimator includes a first member having a first surface,
the first surface being one of a hyperbolic paraboloid surface or a modified hyperbolic
paraboloid surface, and a second member having a second surface, the second surface
being one of a hyperbolic paraboloid surface or a modified hyperbolic paraboloid surface.
The first member disposed relative to the second member such that the first surface
faces the second surface, and is separate from the second surface by a gap so as to
define a hyperbolic paraboloid aperture through the collimator.
[0061] A method of irradiating a target with a collimated beam of radiation includes providing
a collimator having a hyperbolic paraboloid aperture having an input and an output;
illuminating the input of the hyperbolic paraboloid aperture with illuminating radiation
from a first illumination angle, such that a portion of the illuminating radiation
passes through the collimator and exits the collimator through the fourth surface
at a first exit angle; illuminating the input of the hyperbolic paraboloid aperture
with illuminating radiation from a second illumination angle, such that a portion
of the illuminating radiation passes through the collimator and exits the collimator
through the fourth surface at a second exit angle, the second exit angle different
from the first exit angle.
[0062] In some embodiments, providing a collimator includes proving a collimator having
an input plate having an first face and a second face, and an first elongated aperture
completely through the input plate between the first face and the second face; an
output plate having a third face and a fourth face, and an second elongated aperture
completely through the output plate between the third face and the fourth face, the
first face parallel to the fourth face, and separated from the fourth face by a predetermined
distance, such that a projection of the first elongated aperture intersects the second
elongated aperture at a non-zero angle, and such that the intersection of the projection
of first elongated aperture and the second elongated aperture forms a rhombus-shaped
aperture through which radiation may pass without contacting the input plate and without
contacting the output plate.
[0063] In some embodiments, providing a collimator includes providing a collimator having
a first member having a first surface, the first surface being one of a hyperbolic
paraboloid surface or a modified hyperbolic paraboloid surface; a second member having
a second surface, the second surface being one of a hyperbolic paraboloid surface
or a modified hyperbolic paraboloid surface; such that the first member is disposed
relative to the second member such that the first surface faces the second surface,
the first surface and second surface separated by a gap so as to define a hyperbolic
paraboloid aperture through the collimator.
[0064] In another embodiment, there is provided a variable angle collimator having a cylindrical
housing, the housing having a cylindrical surface and an axis, and comprising helical
slit passing completely through the housing, wherein the helical slit defines a first
bounding surface and a second bounding surface, the first bounding surface separated
from the second bounding surface by a gap. In some embodiments, the gap is a constant
distance between the first bounding surface and the second bounding surface at the
cylindrical surface.
[0065] Definitions. As used in this description and the accompanying claims, the following
terms shall have the meanings indicated, unless the context otherwise requires:
[0066] A hyperbolic paraboloid surface is a surface defined by the following formula, where
z is the height of the gap between opposing surfaces defining an aperture, and x and
y are coordinates on orthogonal axes in a plane normal to z:

[0067] In some embodiments, a hyperbolic paraboloid surface is defined by the following
form of the foregoing formula:

[0068] A modified hyperbolic paraboloid surface is a hyperbolic paraboloid surface modified
as described in connection with Fig. 7.
[0069] A hyperbolic paraboloid aperture is a passage through a collimator, the passage having
at least one contour in the shape of a hyperbolic paraboloid surface or a modified
hyperbolic paraboloid surface.
[0070] Various embodiments of the present invention may be characterized by the potential
claims listed in the paragraphs following this paragraph (and before the actual claims
provided at the end of this application). These potential claims form a part of the
written description of this application. Accordingly, subject matter of the following
potential claims may be presented as actual claims in later proceedings involving
this application or any application claiming priority based on this application. Inclusion
of such potential claims should not be construed to mean that the actual claims do
not cover the subject matter of the potential claims. Thus, a decision to not present
these potential claims in later proceedings should not be construed as a donation
of the subject matter to the public.
[0071] Without limitation, potential subject matter that may be claimed (prefaced with the
letter "P" so as to avoid confusion with the actual claims presented below) includes:
P1. A variable angle collimator comprising: an input plate having a first face and
a second face, and an first elongated aperture completely through the input plate
between the first face and the second face; an output plate having a third face and
a fourth face, and an second elongated aperture completely through the output plate
between the third face and the fourth face, the first face parallel to the fourth
face, and separated from the fourth face by a predetermined distance, such that a
projection of the first elongated aperture intersects the second elongated aperture
at a non-zero angle and such that the intersection of the projection of first elongated
aperture and the second elongated aperture forms a rhombus-shaped aperture through
which radiation may pass without contacting the input plate and without contacting
the output plate.
P2. The variable angle collimator of potential claim P1, wherein the non-zero angle
is a right angle.
P3. The variable angle collimator of potential claim P1, further comprising an intermediate
plate having a third aperture completely through the intermediate plate, the intermediate
plate disposed between the input plate and the output plate such that the third aperture
aligns with the first elongated aperture and the second elongated aperture at a plurality
of angles, such that the first elongated aperture, the second elongated aperture and
the third aperture form a rhombus-shaped aperture through which radiation may pass
without contacting any of the input plate, the output plate and the intermediate plate.
P4. The variable angle collimator of potential claim P3, wherein the third aperture
is an elongated aperture.
P5. The variable angle collimator of potential claim P3, wherein the third aperture
is a rectangular aperture.
P6. A variable angle collimator comprising: a first member comprising a first surface,
the first surface being one of a hyperbolic paraboloid surface or a modified hyperbolic
paraboloid surface; a second member comprising a second surface, the second surface
being one of a hyperbolic paraboloid surface or a modified hyperbolic paraboloid surface;
the first member disposed relative to the second member such that the first surface
faces the second surface, the first surface and second surface separated by a gap
so as to define a hyperbolic paraboloid aperture through the collimator.
P7. The variable angle collimator according to potential claim P6, wherein the first
surface is a modified hyperbolic paraboloid surface and the second surface is a modified
hyperbolic paraboloid surface, such that the gap between the first surface and the
second surface is not constant.
P11. A radiation scanning system comprising: a source of radiation configured to controllably
provide a beam of radiation at a plurality of angles; a collimator comprising a hyperbolic
paraboloid aperture having an input and an output.
P12. The radiation scanning system of potential claim P11, wherein the collimator
comprises: an input plate having a first face and a second face, and an first elongated
aperture completely through the input plate between the first face and the second
face; an output plate having a third face and a fourth face, and an second elongated
aperture completely through the output plate between the third face and the fourth
face, the first face parallel to the fourth face, and separated from the fourth face
by a predetermined distance, such that a projection of the first elongated aperture
intersects the second elongated aperture at a non-zero angle, such that the intersection
of the projection of first elongated aperture and the second elongated aperture forms
a rhombus-shaped aperture through which radiation from the source of radiation, at
a plurality of angles, may pass without contacting the input plate and without contacting
the output plate.
P13. The radiation scanning system of potential claim P11, wherein the collimator
comprises: a first member comprising a first surface, the first surface being one
of a hyperbolic paraboloid surface or a modified hyperbolic paraboloid surface; a
second member comprising a second surface, the second surface being one of a hyperbolic
paraboloid surface or a modified hyperbolic paraboloid surface; the first member disposed
relative to the second member such that the first surface faces the second surface,
the first surface and second surface separated by a gap so as to define a hyperbolic
paraboloid aperture through the collimator.
P21. A method of irradiating a target with a collimated beam of radiation, the method
comprising: providing a collimator comprising a hyperbolic paraboloid aperture having
an input and an output; illuminating the input of the hyperbolic paraboloid aperture
with illuminating radiation from a first illumination angle, such that a portion of
the illuminating radiation passes through the collimator and exits the collimator
through the fourth surface at a first exit angle; illuminating the input of the hyperbolic
paraboloid aperture with illuminating radiation from a second illumination angle,
such that a portion of the illuminating radiation passes through the collimator and
exits the collimator through the fourth surface at a second exit angle, the second
exit angle different from the first exit angle.
P22. The method of irradiating a target with a collimated beam of radiation according
to potential claim P21, wherein providing a collimator includes proving a collimator
having: an input plate having an first face and a second face, and an first elongated
aperture completely through the input plate between the first face and the second
face; an output plate having a third face and a fourth face, and an second elongated
aperture completely through the output plate between the third face and the fourth
face, the first face parallel to the fourth face, and separated from the fourth face
by a predetermined distance, such that a projection of the first elongated aperture
intersects the second elongated aperture at a non-zero angle, and such that the intersection
of the projection of first elongated aperture and the second elongated aperture forms
a rhombus-shaped aperture through which radiation may pass without contacting the
input plate and without contacting the output plate.
P23. The method of irradiating a target with a collimated beam of radiation according
to potential claim P21, wherein providing a collimator includes proving a collimator
having: a first member comprising a first surface, the first surface being one of
a hyperbolic paraboloid surface or a modified hyperbolic paraboloid surface; a second
member comprising a second surface, the second surface being one of a hyperbolic paraboloid
surface or a modified hyperbolic paraboloid surface; the first member disposed relative
to the second member such that the first surface faces the second surface, the first
surface and second surface separated by a gap so as to define a hyperbolic paraboloid
aperture through the collimator.
P31. A variable angle collimator comprising: a cylindrical housing, the housing having
a cylindrical surface and an axis, and comprising helical slit passing completely
through the housing, the helical slit having a first bounding surface and a second
bounding surface, the first bounding surface separated from the second bounding surface
by a gap.
P32. The variable angle collimator of potential claim P31, wherein the gap being a
constant distance between the first bounding surface and the second bounding surface
at the cylindrical surface.
[0072] The embodiments of the invention described above are intended to be merely exemplary;
numerous variations and modifications will be apparent to those skilled in the art.
All such variations and modifications are intended to be within the scope of the present
invention as defined in any appended claims.
1. A system for producing a steerable beam of radiation, comprising:
a radiation source configured to produce radiation at an angle, relative to a collimator,
wherein the angle is electronically controllable; and
a collimator comprising material opaque to the radiation produced by the radiation
source, the collimator comprising an aperture configured to receive radiation from
the radiation source at a plurality of incident angles, and configured to pass a portion
of the radiation through the collimator at each of the plurality of incident angles,
so as to form a collimated beam of radiation having a beam cross-section,
wherein the collimator and radiation source are configured to remain stationary with
respect to one another when producing a steerable beam of radiation.
2. The system of claim 1 wherein the radiation source comprises an electron source and
an anode, the electrode source configured to illuminate the anode with a steerable
beam of electrons, so as to produce a movable point source of radiation.
3. The system of claim 1 wherein the aperture comprises a compound aperture formed by
a cooperation between a first aperture in a first collimator surface and a second
aperture in a second collimator surface.
4. The system of claim 3 wherein the first surface is a surface of a first plate, and
the second surface is a surface of a second plate disposed parallel to the first plate.
5. The system of claim 1 wherein the aperture has a rhombus shape.
6. The system of claim 1 wherein the aperture has a square shape.
7. The system of claim 1 wherein the shape of the aperture is variable as a function
of the incident angle of the radiation relative to the aperture.
8. The system of claim 1, wherein the collimator comprises:
a first member comprising a first surface, the first surface being one of a hyperbolic
paraboloid surface or a modified hyperbolic paraboloid surface; and
a second member comprising a second surface, the second surface being one of a hyperbolic
paraboloid surface or a modified hyperbolic paraboloid surface;
the first member disposed relative to the second member such that the first surface
faces the second surface, the first surface and second surface separated by a gap
so as to define a aperture through the collimator.
9. The system of claim 8, wherein the first surface is a modified hyperbolic paraboloid
surface and the second surface is a modified hyperbolic paraboloid surface, such that
the gap between the first surface and the second surface is not constant.
10. The system of claim 8, wherein the collimator is a helically cut cylinder.
11. A method of irradiating a target with a collimated beam of radiation, the method comprising:
providing a steerable source of radiation configured to illuminate a collimator;
providing a collimator comprising a hyperbolic paraboloid aperture having an input
and an output, the collimator disposed in a fixed location relative to the steerable
source of radiation;
producing a collimated beam of radiation at a plurality of exit angles by:
illuminating the input of the hyperbolic paraboloid aperture with illuminating radiation
from a first illumination angle, such that a portion of the illuminating radiation
passes through the collimator and exits the collimator at a first exit angle; and
illuminating the input of the hyperbolic paraboloid aperture with illuminating radiation
from a second illumination angle, the second illumination angle different from the
first illumination angle, such that a portion of the illuminating radiation passes
through the collimator and exits the collimator at a second exit angle, the second
exit angle different from the first exit angle,
such that radiation exiting the collimator at the first angle and at the second angle
irradiate the target.
12. The method of irradiating a target with a collimated beam of radiation according to
claim 11, wherein providing a collimator includes proving a collimator having:
an input plate having an first face and a second face, and an first elongated aperture
completely through the input plate between the first face and the second face; and
an output plate having a third face and a fourth face, and an second elongated aperture
completely through the output plate between the third face and the fourth face, the
first face parallel to the fourth face, and separated from the fourth face by a predetermined
distance, such that a projection of the first elongated aperture intersects the second
elongated aperture at a non-zero angle, and such that the intersection of the projection
of first elongated aperture and the second elongated aperture forms a rhombus-shaped
aperture through which radiation may pass without contacting the input plate and without
contacting the output plate.
13. The method of irradiating a target with a collimated beam of radiation according to
claim 11, wherein providing a collimator includes proving a collimator having:
a first member comprising a first surface, the first surface being one of a hyperbolic
paraboloid surface or a modified hyperbolic paraboloid surface; and
a second member comprising a second surface, the second surface being one of a hyperbolic
paraboloid surface or a modified hyperbolic paraboloid surface;
the first member disposed relative to the second member such that the first surface
faces the second surface, the first surface and second surface separated by a gap
so as to define a hyperbolic paraboloid aperture through the collimator.
14. The method of irradiating a target with a collimated beam of radiation according to
claim 11, wherein the collimated beam exiting the collimator at the first angle has
a first shape in cross-section, and the collimated beam exiting the collimator at
the second angle has a second shape in cross-section, the second shape different than
the first shape.
15. A system for producing a steerable beam of radiation, comprising:
radiation source means for producing an electronically steerable point source of illuminating
radiation; and
collimating means having an aperture configured to pass a portion of illuminating
radiation incident on said collimating means;
the radiation source means disposed, relative to the collimating means, so as to remain
stationary with respect to the collimating means, and so as to illuminate the aperture
with incident radiation from the steerable point source of radiation, such that the
aperture produces a steerable beam of radiation.